Question

find the value of x. show all work on worksheet. 126° 6x + 72° x =

Explanation:

Step1: Use angle - sum property

The sum of adjacent angles on a straight - line is 180°. So, \(126^{\circ}+(6x + 72^{\circ})=180^{\circ}\).

Step2: Simplify the equation

First, combine like terms: \(6x+126^{\circ}+72^{\circ}=180^{\circ}\), which gives \(6x + 198^{\circ}=180^{\circ}\).
Then, subtract \(198^{\circ}\) from both sides: \(6x=180^{\circ}-198^{\circ}\), so \(6x=- 18^{\circ}\).

Step3: Solve for \(x\)

Divide both sides of the equation \(6x=-18^{\circ}\) by 6. We get \(x=\frac{-18^{\circ}}{6}=-3^{\circ}\).

Answer:

\(x = - 3\)